Pith Number

pith:MXM2KQ2J

pith:2025:MXM2KQ2J5IHWMFI7LRSDZFSB3M

not attested not anchored not stored refs pending

A Generalized Energy-Based Adaptive Gradient Method for Optimization

Hailiang Liu, Lin Feng

arxiv:2512.13537 v2 · 2025-12-15 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXM2KQ2J5IHWMFI7LRSDZFSB3M}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-08-04T02:09:16.434522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65d9a54349ea0f66151f5c643c9641db01474b58f59c74f879b573c5f51483d2

Aliases

arxiv: 2512.13537 · arxiv_version: 2512.13537v2 · doi: 10.48550/arxiv.2512.13537 · pith_short_12: MXM2KQ2J5IHW · pith_short_16: MXM2KQ2J5IHWMFI7 · pith_short_8: MXM2KQ2J

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MXM2KQ2J5IHWMFI7LRSDZFSB3M \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 65d9a54349ea0f66151f5c643c9641db01474b58f59c74f879b573c5f51483d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "756605ca2294f8d1604903e7ff3f56493cd0c213e247ff9ba051e0263d633845",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-12-15T17:00:48Z",
    "title_canon_sha256": "9f3b0d3e3ace7dff774788dccd80a5bb5cc875c05d3c0bbeaec60d942428e8a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.13537",
    "kind": "arxiv",
    "version": 2
  }
}